An introduction to continuous-time stochastic processes : theory, models, and applications to finance, biology, and medicine

This concisely written book is a rigorous and self-contained introduction to the theory of continuous-time stochastic processes. A balance of theory and applications, the work features concrete examples of modeling real-world problems from biology, medicine, industrial applications, finance, and ins...

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Hlavní autoři: Capasso, Vincenzo, 1945-, Bakstein, David, 1975- (Autor)
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Boston, MA : Birkhäuser Boston [20..].
Cham : Springer Nature
Vydání:1st ed. 2005.
Edice:Modeling and Simulation in Science, Engineering and Technology
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Poznámka: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• An introduction to continuous-time stochastic processes, theory, models, and applications to finance, biology, and medicine, Vincenzo Capasso, David Bakstein, Boston, Birkhäuser, 2005, 1 vol. (XI-343 p.), Modeling and simulation in science, engineering and technology, 0-8176-3234-4
• An Introduction to Continuous-Time Stochastic Processes, Texte imprimé, 9780817670375
• An introduction to continuous-time stochastic processes, theory, models, and applications to finance, biology, and medicine, Vincenzo Capasso, David Bakstein, Boston, Birkhäuser, 2005, 1 vol. (XI-343 p.), Modeling and simulation in science, engineering and technology, 0-8176-3234-4
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Shrnutí:This concisely written book is a rigorous and self-contained introduction to the theory of continuous-time stochastic processes. A balance of theory and applications, the work features concrete examples of modeling real-world problems from biology, medicine, industrial applications, finance, and insurance using stochastic methods. No previous knowledge of stochastic processes is required. Key topics covered include: * Interacting particles and agent-based models: from polymers to ants * Population dynamics: from birth and death processes to epidemics * Financial market models: the non-arbitrage principle * Contingent claim valuation models: the risk-neutral valuation theory * Risk analysis in insurance An Introduction to Continuous-Time Stochastic Processes will be of interest to a broad audience of students, pure and applied mathematicians, and researchers or practitioners in mathematical finance, biomathematics, biotechnology, and engineering. Suitable as a textbook for graduate or advanced undergraduate courses, the work may also be used for self-study or as a reference. Prerequisites include knowledge of calculus and some analysis; exposure to probability would be helpful but not required since the necessary fundamentals of measure and integration are provided
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ISBN:9780817644284
ISSN:2164-3725
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